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Simplifying 5(25.00 + 8.50x) = 20.75 + 9.75x (25.00 * 5 + 8.50x * 5) = 20.75 + 9.75x (125 + 42.5x) = 20.75 + 9.75x Solving 125 + 42.5x = 20.75 + 9.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.75x' to each side of the equation. 125 + 42.5x + -9.75x = 20.75 + 9.75x + -9.75x Combine like terms: 42.5x + -9.75x = 32.75x 125 + 32.75x = 20.75 + 9.75x + -9.75x Combine like terms: 9.75x + -9.75x = 0.00 125 + 32.75x = 20.75 + 0.00 125 + 32.75x = 20.75 Add '-125' to each side of the equation. 125 + -125 + 32.75x = 20.75 + -125 Combine like terms: 125 + -125 = 0 0 + 32.75x = 20.75 + -125 32.75x = 20.75 + -125 Combine like terms: 20.75 + -125 = -104.25 32.75x = -104.25 Divide each side by '32.75'. x = -3.183206107 Simplifying x = -3.183206107
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